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3 years ago

Order each list of units from most precise to least precise: gram, centigram,kilogram,milligram

Mathematics

2 answers:

ziro4ka [17]3 years ago

3 0

Centigram, milligram, gram, kilogram

Verdich [7]3 years ago

3 0

Milligram,centigram,gran,kilogram

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How to find the derivative 5x²-2x+1

slamgirl [31]

What you need to know:

$y=k{ x }^{ n }\\ \\ \ln { y } =\ln { \left( k{ x }^{ n } \right) }$

$\\ \\ \ln { y } =\ln { k } +\ln { \left( { x }^{ n } \right) } \\ \\ \ln { y } =\ln { k } +n\ln { x }$

$\\ \\ \frac { 1 }{ y } \cdot \frac { dy }{ dx } =\frac { n }{ x } \\ \\ y\cdot \frac { 1 }{ y } \cdot \frac { dy }{ dx } =\frac { n }{ x } \cdot y$

$\\ \\ \frac { dy }{ dx } =n{ x }^{ -1 }\cdot k{ x }^{ n }\\ \\ \frac { dy }{ dx } =kn{ x }^{ -1+n }$

$\\ \\ \frac { dy }{ dx } =kn{ x }^{ n-1 }$

If this is the case, when:

$y=5{ x }^{ 2 }-2x+1$

dy/dx is...

$\\ \\ \frac { dy }{ dx } =5\cdot 2{ x }^{ 2-1 }-2\cdot 1{ x }^{ 1-1 }\\ \\ \frac { dy }{ dx } =10x-2\cdot { x }^{ 0 }$

$\\ \\ \frac { dy }{ dx } =10x-2$

6 0

4 years ago

Read 2 more answers

Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl

Kobotan [32]

Answer:

The dimension of the box is 18.66 in by 2.66 in by 1.17 in.

Step-by-step explanation:

Given that, The cardboard is 21 in. long and 5 in. wide.

Assume,x be the length of the each sides of the square .

Then the length of the box is = (21-2x) in.

The breadth of the box is =(5-2x) in.

The height of the box is = length of side of the square

= x in.

The volume of the box = length × wide × height

=(21-2x)(5-2x)x

=(105-52x+4x²)x

=( $105 x-52x^2+4x^3$ )

Let

V= $105 x-52x^2+4x^3$

Differentiating with respect to x

$V'=105-104x+12x^2$

Again differentiating with respect to x

$V''=-104+24x$

To find the dimension of the box, we set V'=0

$105-104x+12x^2=0$

Applying the quadratic formula $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , here a=12, b= -104 and c =105

$\Rightarrow x=\frac{-(-104)\pm\sqrt{(-104)^2-4.12.105}}{2.12}$

$=\frac{104\pm 76}{24}$

=7.5, 1.17

For x= 7.5 , the wide of the box will be negative.

∴x=1.17 in.

$V''_{x=1.17}=-104+(24\times 1.17)$

Since at x= 1.17, V''<0 , therefore at x=1.17 in. the volume of the given box will be maximum.

The length of the box is = [21-(1.17×2)]=18.66 in.

The wide of the box is = [5-(1.17×2)]=2.66 in.

The height of the box is = 1.17 in.

The dimension of the box is 18.66 in by 2.66 in by 1.17 in.

5 0

4 years ago

Indicate which property is illustrated in Step 2.

olganol [36]

Answer:

The answer is B. Associative.

Step-by-step explanation:

The reason why its B because the associative property states that even if the numbers are regrouped, the answer will still be the same.

I might be wrong

6 0

3 years ago

Of the water lilies in the pond, 43% of them are yellow. The others are white.

ycow [4]

Answer:

The probability of the frog landing on a complement of yellow lily is 0.57

Step-by-step explanation:

PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.

It is given that 43% of plants are lilies it means the probability of a frog randomly jumping onto a lily is:

the probability of the frog landing on a complement of yellow lily is 0.57

3 0

2 years ago

Hurry!!!Need help with this question!!!<br> If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p*h)(x)?

nignag [31]

Hey there,

If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p*h)(x)?

Based on my understanding, I believe that your correct answer would
be 2x2 – 16x + 30 because 2x^2-16x+30. Just by plugging in both 2x^2
and also 16x+30, so this would mean that 2x²-16x+30 would be your correct answer.

Hope this helps.

4 0

3 years ago